Question

Differentiate the function.

Answer 1

\[f(x)= \frac{ x }{ x + c/x }\]

Answer 2

quotient rule

Answer 3

\[\frac{ (x+c/x)(1)-(x)(1+ ??)}{ (x+x/x)^2 }\]

Answer 4

c/x would be ?

Answer 5

\[\large \frac{d}{dx}cx \implies cx^{-1} \implies -cx^{-1 - 1} \implies -cx^{-2} \implies -\frac c{x^2}\]
got it?

Answer 6

that's d/dx (c/x)

Answer 7

yep thankS!

Answer 8

welcome